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Proof step 4 from proof nonnullrefs-dups-firstoc (previous step)

dups((vals + refval(r0) ' + vals1 + refval(r0) ' + vals2) .nonnullrefs) ⊦ r0 = jvmref, refval(r0) ∈ vals1, refval(r0) ∈ vals, ∃ r1, vals5, vals4, vals3. refval(r0) ' + vals + refval(r0) ' + vals1 + refval(r0) ' + vals2 = vals5 + refval(r1) ' + vals4 + refval(r1) ' + vals3 ∧ r1 ≠ jvmref ∧ ¬ refval(r1) ∈ vals5 ∧ ¬ refval(r1) ∈ vals4

User applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 4, [extquanttermlist: (r0, [], vals, vals1 + refval(r0) ' + vals2) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, javavalues, a, ⊦ (vals + vals0) + vals1 = vals + vals0 + vals1], [CSIMPNAMEDSEQ : list, javavalues, Nil, ⊦ [] + vals = vals], [CSIMPNAMEDSEQ : list, javavalues, app-01, ⊦ vals + vals0 = vals + vals1 ↔ vals0 = vals1], [CSIMPNAMEDSEQ : list, javavalues, in-empty, ⊦ ¬ val ∈ []])], [EXTRATERMS : (r0, [], vals, vals1 + refval(r0) ' + vals2)]]